K. R. Goodearl, Robert B. Warfield

An Introduction to Noncommutative Noetherian Rings

• Broschiertes Buch

Produktbeschreibung

This introduction to noncommutative noetherian rings, accessible to anyone with a basic background in abstract algebra, can be used as a second-year graduate text, or as a self-contained reference. Extensive explanatory material is given, and exercises are integrated throughout. New material includes the basic types of quantum groups.

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Produktdetails

• Verlag: Cambridge University Press
• 2nd edition
• Seitenzahl: 370
• Erscheinungstermin: 9. Oktober 2012
• Englisch
• Abmessung: 229mm x 152mm x 22mm
• Gewicht: 600g
• ISBN-13: 9780521545372
• ISBN-10: 0521545374
• Artikelnr.: 21105995

Autorenporträt

K. R. Goodearl received his Ph.D. in 1971 from the University of Washington. Following an instructorship at the University of Chicago, he spent 19 years at the University of Utah. Since 1991, he has been a professor of mathematics at the University of California at Santa Barbara.

Inhaltsangabe

1. A few Noetherian rings
2. Skew polynomial rings
3. Prime ideals
4. Semisimple modules, Artinian modules, and torsionfree modules
5. Injective hulls
6. Semisimple rings of fractions
7. Modules over semiprime Goldie rings
8. Bimodules and affiliated prime ideals
9. Fully bounded rings
10. Rings and modules of fractions
11. Artinian quotient rings
12. Links between prime ideals
13. The Artin-Rees property
14. Rings satisfying the second layer condition
15. Krull dimension
16. Numbers of generators of modules
17. Transcendental division algebras.